Mary’s yard is a mess. she needs to hire someone to prune her trees and shrubs. a landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. mary’s neighbor has offered to her out. she doesn’t charge a consultation fee, but does charge $10 an hour for her work.  write two equations, one that describes the landscaping service charge and one that describes your neighbor’s charge. let  cequal the charge as a function of  h, the number of hours worked.  a. c  = 15 + 10hc  = 8h  b. c  = 10h  + 8hc  = 15  c. c  = 15 + 8hc  = 10hd. c  = 18hc  = 15

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She should ask her neighbor to help her.

Step-by-step explanation:

We can use equations to help us figure out this answer.

8x + 15 = y

10x = y

If she has a 3-hour job, we can use 3 instead of x.

8(3) + 15 = y

24 + 15 = y

30 = y for the landscaping service

10(3) = y

30 = y for a neighbors help

It will cost her 9 dollars less, so she should go with her neighbor.

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²